Optical rogue wave structures and phase transitions in a light guide fiber system doped with two-level resonant atoms

Abstract

In this article, we investigate the optical rogue wave structures and phase transitions in a light guide fiber system doped with two-level resonant atoms, which is governed by four-coupled (2+1)-dimensional nonlinear Schrödinger–Maxwell–Bloch (SMB) equations. The analytical rogue wave solutions are derived by utilizing the generalized Darboux transformation. Furthermore, the structures and phase transitions of the rogue waves are systematically studied. We reveal that there coexist four geometric structures: stripe-like, one-leaf-like, three-leaf-like and four-leaf-like rogue waves. The system parameter can be used to generate and control the phase transitions.